The model sisters of Kim Kardashian were gallantly rescued by New York firefighters on Thursday night when they found themselves stuck in the elevator of the luxury Tribeca building where they’re staying.

But the buzz is that the building wants them to foot the bill for allegedly breaking the lift by holding it open too long, sources told Page Six.

Kendall, Kylie and their pals Hailey Baldwin and Jordyn Woods found themselves trapped in the elevator of 15 Leonard St., where Kendall and Kylie are reportedly renting a $27 million, four-story penthouse.

They called 911 — and, of course, documented the entire incident on social media — then posed with firefighters when they were sprung 34 minutes later.

A source told us that some tenants were blaming them for the elevator malfunction. “They’re getting hit with the bill,” said an insider. “They were holding the elevator to the point that it went off track.” There are just six units in the building with “private keyed elevator access,” and residents could hear the alarm beeping as they held it open, the source said, adding of the LA model transplants: “It’s like, ‘Welcome to New York,’ and high-rise living!”

But the building’s developer Steven Schnall told us the Jenners had nothing to do with the glitch, emailing, “The elevator got stuck a couple of times. We made a service call and will surely get a bill — but nobody ever suggested that Kylie or Kendall pay the bill.”

A Snapchat video showed Kylie exclaiming during the ordeal: “We’re actually stuck in an elevator in real life . . . Like, I’ve never thought this would actually happen. I’m genuinely so terrified and hungry.” Yes, an unbearable 34 minutes of terror and hunger.

The photo-ready Jenners on Friday were headed to Harper’s Bazaar’s Icons party and have been seen at shows for Kanye West and Alexander Wang. They’re reportedly renting the luxe triplex from developer Ron Moelis, who didn’t comment. Reps for the Jenners didn’t get back to us.